%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV111+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:27 PM UTC 2026
% Result : Theorem 18.23s 3.19s
% Output : CNFRefutation 18.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 214 ( 62 unt; 4 def)
% Number of atoms : 1018 ( 197 equ)
% Maximal formula atoms : 62 ( 4 avg)
% Number of connectives : 1261 ( 457 ~; 506 |; 262 &)
% ( 3 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 24 con; 0-3 aty)
% Number of variables : 265 ( 0 sgn 217 !; 48 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f6,axiom,
! [X0,X1] :
( lt(X0,X1)
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',lt_gt) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(f53,conjecture,
( ( ! [X8] :
( ( leq(X8,minus(pv57,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> ( ( lt(X6,pv57)
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( ( X6 = pv57
& lt(X7,plus(n1,minus(n6,n1))) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X18] :
( ( leq(X18,minus(pv57,n1))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,minus(n6,n1))
& leq(n0,X19) )
=> a_select3(id_ds1_filter,X18,X19) = a_select3(id_ds1_filter,X19,X18) ) )
& ! [X16,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X16,pv57)
& leq(n0,X17)
& leq(n0,X16) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0004) ).
fof(f54,negated_conjecture,
~ ( ( ! [X8] :
( ( leq(X8,minus(pv57,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> ( ( lt(X6,pv57)
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( ( X6 = pv57
& lt(X7,plus(n1,minus(n6,n1))) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X18] :
( ( leq(X18,minus(pv57,n1))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,minus(n6,n1))
& leq(n0,X19) )
=> a_select3(id_ds1_filter,X18,X19) = a_select3(id_ds1_filter,X19,X18) ) )
& ! [X16,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X16,pv57)
& leq(n0,X17)
& leq(n0,X16) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f98,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f99,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f100,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).
fof(f101,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f102,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f103,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f104,plain,
! [X0,X1] :
( gt(X1,X0)
=> lt(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f105,plain,
( ! [X8] :
( ~ leq(X8,minus(pv57,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| ( ( ~ lt(X6,pv57)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( pv57 != X6
| ~ lt(X7,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( ? [X18] :
( leq(X18,minus(pv57,n1))
& leq(n0,X18)
& ? [X19] :
( leq(X19,minus(n6,n1))
& leq(n0,X19)
& a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18) ) )
| ? [X16,X17] :
( leq(X17,minus(n6,n1))
& leq(X16,pv57)
& leq(n0,X17)
& leq(n0,X16)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) )
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) )
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) )
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) )
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f106,plain,
( ! [X8] :
( ~ leq(X8,minus(pv57,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| ( ( ~ lt(X6,pv57)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( pv57 != X6
| ~ lt(X7,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( ? [X18] :
( leq(X18,minus(pv57,n1))
& leq(n0,X18)
& ? [X19] :
( leq(X19,minus(n6,n1))
& leq(n0,X19)
& a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18) ) )
| ? [X16,X17] :
( leq(X17,minus(n6,n1))
& leq(X16,pv57)
& leq(n0,X17)
& leq(n0,X16)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) )
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) )
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) )
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) )
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ) ),
inference(flattening,[],[f105]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f110,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(flattening,[],[f109]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| lt(X0,X1) ),
inference(ennf_transformation,[],[f104]) ).
fof(f137,plain,
( ~ sP3
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) ) ),
inference(nnf_transformation,[],[f135]) ).
fof(f138,plain,
( ~ sP3
| ? [X0,X1] :
( leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
( ~ sP3
| ( leq(sK5,minus(n3,n1))
& leq(sK4,minus(n3,n1))
& leq(n0,sK5)
& leq(n0,sK4)
& a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f138]) ).
fof(f140,plain,
( ~ sP2
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f141,plain,
( ~ sP2
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ~ sP2
| ( leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& leq(n0,sK6)
& a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f141]) ).
fof(f143,plain,
( ~ sP1
| ? [X16,X17] :
( leq(X17,minus(n6,n1))
& leq(X16,pv57)
& leq(n0,X17)
& leq(n0,X16)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f144,plain,
( ~ sP1
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,pv57)
& leq(n0,X1)
& leq(n0,X0)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
( ~ sP1
| ( leq(sK9,minus(n6,n1))
& leq(sK8,pv57)
& leq(n0,sK9)
& leq(n0,sK8)
& a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK9,sK8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f144]) ).
fof(f149,plain,
( ! [X10] :
( ~ leq(X10,minus(pv57,n1))
| ~ leq(n0,X10)
| ! [X11] :
( ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| ( ( ~ lt(X8,pv57)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) )
& ( pv57 != X8
| ~ lt(X9,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| sP3
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ) ),
inference(rectify,[],[f136]) ).
fof(f150,plain,
( ! [X10] :
( ~ leq(X10,minus(pv57,n1))
| ~ leq(n0,X10)
| ! [X11] :
( ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| ( ( ~ lt(X8,pv57)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) )
& ( pv57 != X8
| ~ lt(X9,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| sP3
| ( leq(sK13,minus(n6,n1))
& leq(sK12,minus(n6,n1))
& leq(n0,sK13)
& leq(n0,sK12)
& a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12) )
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f149]) ).
fof(f152,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| gt(succ(X1),X0) )
& ( ~ gt(succ(X1),X0)
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f153,plain,
! [X0,X1] :
( ( ~ leq(X0,pred(X1))
| gt(X1,X0) )
& ( ~ gt(X1,X0)
| leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f154,plain,
( ~ sP3
| leq(sK5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f155,plain,
( ~ sP3
| leq(sK4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f156,plain,
( ~ sP3
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f139]) ).
fof(f157,plain,
( ~ sP3
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f139]) ).
fof(f158,plain,
( ~ sP3
| a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4) ),
inference(cnf_transformation,[],[f139]) ).
fof(f159,plain,
( ~ sP2
| leq(sK7,minus(n6,n1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f160,plain,
( ~ sP2
| leq(sK6,minus(n6,n1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f161,plain,
( ~ sP2
| leq(n0,sK7) ),
inference(cnf_transformation,[],[f142]) ).
fof(f162,plain,
( ~ sP2
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f142]) ).
fof(f163,plain,
( ~ sP2
| a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6) ),
inference(cnf_transformation,[],[f142]) ).
fof(f164,plain,
( ~ sP1
| leq(sK9,minus(n6,n1)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f165,plain,
( ~ sP1
| leq(sK8,pv57) ),
inference(cnf_transformation,[],[f145]) ).
fof(f166,plain,
( ~ sP1
| leq(n0,sK9) ),
inference(cnf_transformation,[],[f145]) ).
fof(f167,plain,
( ~ sP1
| leq(n0,sK8) ),
inference(cnf_transformation,[],[f145]) ).
fof(f168,plain,
( ~ sP1
| a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK9,sK8) ),
inference(cnf_transformation,[],[f145]) ).
fof(f174,plain,
! [X10,X11] :
( ~ leq(X10,minus(pv57,n1))
| ~ leq(n0,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ),
inference(cnf_transformation,[],[f150]) ).
fof(f175,plain,
! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| ~ lt(X8,pv57)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ),
inference(cnf_transformation,[],[f150]) ).
fof(f176,plain,
! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| pv57 != X8
| ~ lt(X9,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ),
inference(cnf_transformation,[],[f150]) ).
fof(f177,plain,
! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) ),
inference(cnf_transformation,[],[f150]) ).
fof(f178,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) ),
inference(cnf_transformation,[],[f150]) ).
fof(f179,plain,
! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f180,plain,
leq(pv57,minus(n6,n1)),
inference(cnf_transformation,[],[f150]) ).
fof(f181,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f150]) ).
fof(f182,plain,
leq(n0,pv57),
inference(cnf_transformation,[],[f150]) ).
fof(f183,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f150]) ).
fof(f184,plain,
( sP0
| sP1
| sP2
| sP3
| leq(sK13,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f185,plain,
( sP0
| sP1
| sP2
| sP3
| leq(sK12,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f186,plain,
( sP0
| sP1
| sP2
| sP3
| leq(n0,sK13)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f187,plain,
( sP0
| sP1
| sP2
| sP3
| leq(n0,sK12)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f188,plain,
( sP0
| sP1
| sP2
| sP3
| a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f190,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f195,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f201,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| lt(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f202,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f101]) ).
fof(f221,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f223,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f103]) ).
fof(f232,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f241,plain,
n6 = succ(succ(succ(succ(succ(succ(n0)))))),
inference(cnf_transformation,[],[f100]) ).
fof(f250,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f102]) ).
fof(f256,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f98]) ).
fof(f260,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f99]) ).
fof(f266,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f267,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f269,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f274,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(plus(n1,X1),X0) ),
inference(definition_unfolding,[],[f195,f221]) ).
fof(f276,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f202,f221]) ).
fof(f286,plain,
n3 = plus(n1,plus(n1,plus(n1,n0))),
inference(definition_unfolding,[],[f223,f221,f221,f221]) ).
fof(f287,plain,
n6 = plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0)))))),
inference(definition_unfolding,[],[f241,f221,f221,f221,f221,f221,f221]) ).
fof(f288,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f250,f221,f221]) ).
fof(f290,plain,
n4 = plus(n1,plus(n1,plus(n1,plus(n1,n0)))),
inference(definition_unfolding,[],[f256,f221,f221,f221,f221]) ).
fof(f291,plain,
n5 = plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0))))),
inference(definition_unfolding,[],[f260,f221,f221,f221,f221,f221]) ).
fof(f293,plain,
! [X0] : plus(n1,minus(X0,n1)) = X0,
inference(definition_unfolding,[],[f266,f221,f232]) ).
fof(f294,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f267,f232,f221]) ).
fof(f295,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f269,f232]) ).
fof(f297,plain,
! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,pv57)
| ~ lt(X9,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,pv57,X9) = a_select3(id_ds1_filter,X9,pv57) ),
inference(equality_resolution,[],[f176]) ).
tcf(c_49,plain,
( ~ sP3
| ( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4) ) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_50,plain,
( leq(n0,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_51,plain,
( leq(n0,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_52,plain,
( leq(sK4,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_53,plain,
( leq(sK5,minus(n3,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_54,plain,
( ~ sP2
| ( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6) ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_55,plain,
( leq(n0,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_56,plain,
( leq(n0,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_57,plain,
( leq(sK6,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_58,plain,
( leq(sK7,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_59,plain,
( ~ sP1
| ( a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK9,sK8) ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_60,plain,
( leq(n0,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_61,plain,
( leq(n0,sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_62,plain,
( leq(sK8,pv57)
| ~ sP1 ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_63,plain,
( leq(sK9,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_69,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1))
| ( a_select3(q_ds1_filter,sK12,sK13) != a_select3(q_ds1_filter,sK13,sK12) ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_70,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| leq(n0,sK12)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1)) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_71,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| leq(n0,sK13)
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1)) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_72,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| leq(sK12,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1)) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_73,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| leq(sK13,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,pv57)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv57,minus(n6,n1)) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_74,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f183]) ).
tcf(c_75,negated_conjecture,
leq(n0,pv57),
inference(cnf_transformation,[],[f182]) ).
tcf(c_76,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f181]) ).
tcf(c_77,negated_conjecture,
leq(pv57,minus(n6,n1)),
inference(cnf_transformation,[],[f180]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_80,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_81,negated_conjecture,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) )
| ~ leq(n0,pv57)
| ~ leq(n0,X0)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ lt(X0,plus(n1,minus(n6,n1))) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) )
| ~ lt(X1,pv57)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(pv57,n1)) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_97,plain,
plus(n1,n0) = n1,
inference(cnf_transformation,[],[f276]) ).
tcf(c_117,plain,
plus(n1,plus(n1,plus(n1,n0))) = n3,
inference(cnf_transformation,[],[f286]) ).
tcf(c_134,plain,
plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0)))))) = n6,
inference(cnf_transformation,[],[f287]) ).
tcf(c_143,plain,
plus(n1,plus(n1,n0)) = n2,
inference(cnf_transformation,[],[f288]) ).
tcf(c_149,plain,
plus(n1,plus(n1,plus(n1,plus(n1,n0)))) = n4,
inference(cnf_transformation,[],[f290]) ).
tcf(c_153,plain,
plus(n1,plus(n1,plus(n1,plus(n1,plus(n1,n0))))) = n5,
inference(cnf_transformation,[],[f291]) ).
tcf(c_159,plain,
! [X0: $i] : plus(n1,minus(X0,n1)) = X0,
inference(cnf_transformation,[],[f293]) ).
tcf(c_160,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(cnf_transformation,[],[f294]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( leq(X1,minus(X0,n1))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_200,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| leq(sK13,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_75,c_74,c_77,c_76,c_73]) ).
tcf(c_202,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| leq(sK12,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_75,c_74,c_77,c_76,c_72]) ).
tcf(c_206,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) )
| ~ leq(X0,minus(n6,n1))
| ~ lt(X0,plus(n1,minus(n6,n1)))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_81,c_75,c_77,c_81]) ).
tcf(c_207,negated_conjecture,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ lt(X0,plus(n1,minus(n6,n1))) ),
inference(renaming,[status(thm)],[c_206]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ gt(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_96]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( leq(X1,minus(X0,n1))
| ~ gt(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_161]) ).
tcf(c_1029,plain,
plus(n1,n1) = n2,
inference(light_normalisation,[status(thm)],[c_143,c_97]) ).
tcf(c_1078,plain,
plus(n1,n2) = n3,
inference(light_normalisation,[status(thm)],[c_117,c_97,c_1029]) ).
tcf(c_1111,plain,
plus(n1,n3) = n4,
inference(light_normalisation,[status(thm)],[c_149,c_97,c_1029,c_1078]) ).
tcf(c_1136,plain,
plus(n1,n4) = n5,
inference(light_normalisation,[status(thm)],[c_153,c_97,c_1029,c_1078,c_1111]) ).
tcf(c_1149,plain,
plus(n1,n5) = n6,
inference(light_normalisation,[status(thm)],[c_134,c_97,c_1029,c_1078,c_1111,c_1136]) ).
tcf(c_1182,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) )
| ~ lt(X0,n6)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(demodulation,[status(thm)],[c_207,c_159]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( a_select3(id_ds1_filter,X0,X3) = a_select3(id_ds1_filter,X3,X0) )
| ~ leq(n0,X3)
| ~ leq(n0,X0)
| ~ gt(X2,X1)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ( X2 != pv57 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_269]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) )
| ~ gt(pv57,X0)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(unflattening,[status(thm)],[c_1311]) ).
tcf(c_1332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select3(id_ds1_filter,X2,pv57) = a_select3(id_ds1_filter,pv57,X2) )
| ~ leq(n0,X2)
| ~ gt(X0,X1)
| ~ leq(X2,minus(n6,n1))
| ( X1 != X2 )
| ( X0 != n6 ) ),
inference(resolution_lifted,[status(thm)],[c_269,c_1182]) ).
tcf(c_1333,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) )
| ~ gt(n6,X0)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(unflattening,[status(thm)],[c_1332]) ).
tcf(c_1343,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) )
| ~ gt(n6,X0)
| ~ leq(n0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1333,c_271]) ).
tcf(c_8237,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| ( a_select3(q_ds1_filter,X0,sK12) = a_select3(q_ds1_filter,sK12,X0) )
| ~ leq(n0,sK12)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_202,c_78]) ).
tcf(c_8473,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| ( a_select3(q_ds1_filter,X0,sK12) = a_select3(q_ds1_filter,sK12,X0) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_8237,c_75,c_74,c_77,c_76,c_70,c_8237]) ).
tcf(c_8474,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| ( a_select3(q_ds1_filter,X0,sK12) = a_select3(q_ds1_filter,sK12,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_8473]) ).
tcf(c_8492,plain,
( sP0
| sP1
| sP2
| sP3
| ( a_select3(q_ds1_filter,sK12,sK13) = a_select3(q_ds1_filter,sK13,sK12) )
| ~ leq(n0,sK13) ),
inference(superposition,[status(thm)],[c_200,c_8474]) ).
tcf(c_8506,plain,
( sP0
| sP1
| sP2
| sP3 ),
inference(global_subsumption_just,[status(thm)],[c_8492,c_75,c_74,c_77,c_76,c_71,c_69,c_8492]) ).
tcf(c_8757,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK4) = a_select3(r_ds1_filter,sK4,X0) )
| ~ sP3
| ~ leq(n0,sK4)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_8768,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK4) = a_select3(r_ds1_filter,sK4,X0) )
| ~ sP3
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_8757,c_50,c_8757]) ).
tcf(c_8769,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK4) = a_select3(r_ds1_filter,sK4,X0) )
| ~ sP3
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(renaming,[status(thm)],[c_8768]) ).
tcf(c_8802,plain,
( ( a_select3(r_ds1_filter,sK4,sK5) = a_select3(r_ds1_filter,sK5,sK4) )
| ~ sP3
| ~ leq(n0,sK5) ),
inference(superposition,[status(thm)],[c_53,c_8769]) ).
tcf(c_8804,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK5) = a_select3(r_ds1_filter,sK5,X0) )
| ~ sP3
| ~ leq(n0,sK5)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_53,c_79]) ).
tcf(c_8828,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK6) = a_select3(pminus_ds1_filter,sK6,X0) )
| ~ sP2
| ~ leq(n0,sK6)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_57,c_80]) ).
tcf(c_9126,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_8804,c_51,c_49,c_8802]) ).
tcf(c_9128,plain,
( sP0
| sP1
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_8506,c_9126]) ).
tcf(c_9132,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK6) = a_select3(pminus_ds1_filter,sK6,X0) )
| ~ sP2
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_8828,c_55,c_8828]) ).
tcf(c_9133,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,X0,sK6) = a_select3(pminus_ds1_filter,sK6,X0) )
| ~ sP2
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_9132]) ).
tcf(c_9144,plain,
( ( a_select3(pminus_ds1_filter,sK6,sK7) = a_select3(pminus_ds1_filter,sK7,sK6) )
| ~ sP2
| ~ leq(n0,sK7) ),
inference(superposition,[status(thm)],[c_58,c_9133]) ).
tcf(c_9147,plain,
( ( a_select3(pminus_ds1_filter,sK6,pv57) = a_select3(pminus_ds1_filter,pv57,sK6) )
| ~ sP2
| ~ leq(n0,pv57) ),
inference(superposition,[status(thm)],[c_77,c_9133]) ).
tcf(c_9149,plain,
( ( a_select3(pminus_ds1_filter,sK6,pv57) = a_select3(pminus_ds1_filter,pv57,sK6) )
| ~ sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9147,c_75]) ).
tcf(c_9166,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_9149,c_56,c_54,c_9144]) ).
tcf(c_9201,plain,
minus(n6,n1) = n5,
inference(superposition,[status(thm)],[c_1149,c_160]) ).
tcf(c_9216,plain,
( leq(sK9,n5)
| ~ sP1 ),
inference(demodulation,[status(thm)],[c_63,c_9201]) ).
tcf(c_9666,plain,
! [X0: $i] :
( gt(n6,X0)
| ~ leq(X0,n5) ),
inference(superposition,[status(thm)],[c_1149,c_91]) ).
tcf(c_9866,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,minus(X1,n1))
| ~ leq(X2,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_15206,plain,
! [X0: $i] :
( leq(X0,minus(n6,n1))
| ~ leq(X0,pv57)
| ~ leq(pv57,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_9866]) ).
tcf(c_16863,plain,
( ( a_select3(id_ds1_filter,sK8,sK9) = a_select3(id_ds1_filter,sK9,sK8) )
| ~ gt(pv57,sK8)
| ~ leq(n0,sK9)
| ~ leq(n0,sK8)
| ~ leq(sK9,minus(n6,n1))
| ~ leq(sK8,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_1312]) ).
tcf(c_33326,plain,
( leq(sK8,minus(n6,n1))
| ~ leq(sK8,pv57)
| ~ leq(pv57,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_15206]) ).
fof(f132,definition,
( ~ sP0
| ? [X18] :
( leq(X18,minus(pv57,n1))
& leq(n0,X18)
& ? [X19] :
( leq(X19,minus(n6,n1))
& leq(n0,X19)
& a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f133,definition,
( ~ sP1
| ? [X16,X17] :
( leq(X17,minus(n6,n1))
& leq(X16,pv57)
& leq(n0,X17)
& leq(n0,X16)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f134,definition,
( ~ sP2
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f135,definition,
( ~ sP3
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f136,plain,
( ! [X8] :
( ~ leq(X8,minus(pv57,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| ( ( ~ lt(X6,pv57)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ( pv57 != X6
| ~ lt(X7,plus(n1,minus(n6,n1)))
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) ) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| sP3
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) )
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ) ),
inference(definition_folding,[],[f106,f135,f134,f133,f132]) ).
fof(f146,plain,
( ~ sP0
| ? [X18] :
( leq(X18,minus(pv57,n1))
& leq(n0,X18)
& ? [X19] :
( leq(X19,minus(n6,n1))
& leq(n0,X19)
& a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18) ) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f147,plain,
( ~ sP0
| ? [X0] :
( leq(X0,minus(pv57,n1))
& leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) ) ) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
( ~ sP0
| ( leq(sK10,minus(pv57,n1))
& leq(n0,sK10)
& leq(sK11,minus(n6,n1))
& leq(n0,sK11)
& a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK11,sK10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f147]) ).
fof(f169,plain,
( ~ sP0
| leq(sK10,minus(pv57,n1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f170,plain,
( ~ sP0
| leq(n0,sK10) ),
inference(cnf_transformation,[],[f148]) ).
fof(f171,plain,
( ~ sP0
| leq(sK11,minus(n6,n1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f172,plain,
( ~ sP0
| leq(n0,sK11) ),
inference(cnf_transformation,[],[f148]) ).
fof(f173,plain,
( ~ sP0
| a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK11,sK10) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_64,plain,
( ~ sP0
| ( a_select3(id_ds1_filter,sK10,sK11) != a_select3(id_ds1_filter,sK11,sK10) ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_65,plain,
( leq(n0,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_66,plain,
( leq(sK11,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_67,plain,
( leq(n0,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_68,plain,
( leq(sK10,minus(pv57,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_9001,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,sK11) = a_select3(id_ds1_filter,sK11,X0) )
| ~ sP0
| ~ leq(n0,sK11)
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv57,n1)) ),
inference(superposition,[status(thm)],[c_66,c_83]) ).
tcf(c_9842,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,sK11) = a_select3(id_ds1_filter,sK11,X0) )
| ~ sP0
| ~ leq(X0,minus(pv57,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9001,c_65,c_9001]) ).
tcf(c_9843,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,sK11) = a_select3(id_ds1_filter,sK11,X0) )
| ~ sP0
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv57,n1)) ),
inference(renaming,[status(thm)],[c_9842]) ).
tcf(c_9853,plain,
( ( a_select3(id_ds1_filter,sK10,sK11) = a_select3(id_ds1_filter,sK11,sK10) )
| ~ sP0
| ~ leq(n0,sK10) ),
inference(superposition,[status(thm)],[c_68,c_9843]) ).
tcf(c_10604,plain,
sP1,
inference(global_subsumption_just,[status(thm)],[c_9128,c_67,c_64,c_8506,c_9126,c_9166,c_9853]) ).
tcf(c_10611,plain,
leq(sK8,pv57),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_10604]) ).
tcf(c_10612,plain,
leq(n0,sK9),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_10604]) ).
tcf(c_12189,plain,
a_select3(id_ds1_filter,sK8,sK9) != a_select3(id_ds1_filter,sK9,sK8),
inference(global_subsumption_just,[status(thm)],[c_59,c_59,c_10604]) ).
tcf(c_14062,plain,
( gt(pv57,sK8)
| ( sK8 = pv57 ) ),
inference(superposition,[status(thm)],[c_10611,c_85]) ).
tcf(c_15097,plain,
leq(sK9,n5),
inference(global_subsumption_just,[status(thm)],[c_9216,c_67,c_56,c_51,c_64,c_54,c_49,c_8506,c_8802,c_9144,c_9216,c_9853]) ).
tcf(c_23640,plain,
gt(n6,sK9),
inference(superposition,[status(thm)],[c_15097,c_9666]) ).
tcf(c_23673,plain,
( ( a_select3(id_ds1_filter,sK9,pv57) = a_select3(id_ds1_filter,pv57,sK9) )
| ~ leq(n0,sK9) ),
inference(superposition,[status(thm)],[c_23640,c_1343]) ).
tcf(c_23676,plain,
a_select3(id_ds1_filter,sK9,pv57) = a_select3(id_ds1_filter,pv57,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_23673,c_10612]) ).
tcf(c_42127,plain,
sK8 = pv57,
inference(global_subsumption_just,[status(thm)],[c_14062,c_77,c_67,c_62,c_61,c_60,c_56,c_51,c_63,c_64,c_59,c_54,c_49,c_8506,c_8802,c_9144,c_9853,c_14062,c_16863,c_33326]) ).
tcf(c_42137,plain,
a_select3(id_ds1_filter,sK9,pv57) != a_select3(id_ds1_filter,pv57,sK9),
inference(demodulation,[status(thm)],[c_12189,c_42127]) ).
tcf(c_42138,plain,
$false,
inference(ground_joinability,[status(thm)],[c_42137,c_23676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV111+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 18:35:04 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 18.23/3.19 % SZS status Started for theBenchmark.p
% 18.23/3.19 % SZS status Theorem for theBenchmark.p
% 18.23/3.19
% 18.23/3.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.23/3.19
% 18.23/3.19 % ------ iProver source info
% 18.23/3.19
% 18.23/3.19 % git: date: 2026-07-19 20:42:38 +0200
% 18.23/3.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.23/3.19 % git: non_committed_changes: false
% 18.23/3.19
% 18.23/3.19 % ------ Parsing...
% 18.23/3.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.23/3.19
% 18.23/3.19 % ------ Preprocessing... sup_sim: 12 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 18.23/3.19
% 18.23/3.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.23/3.19
% 18.23/3.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.23/3.19 % ------ Proving...
% 18.23/3.19 % ------ Problem Properties
% 18.23/3.19
% 18.23/3.19 %
% 18.23/3.19 % clauses 113
% 18.23/3.19 % conjectures 13
% 18.23/3.19 % EPR 63
% 18.23/3.19 % Horn 100
% 18.23/3.19 % unary 61
% 18.23/3.19 % binary 30
% 18.23/3.19 % lits 229
% 18.23/3.19 % lits eq 59
% 18.23/3.19 % fd_pure 0
% 18.23/3.19 % fd_pseudo 0
% 18.23/3.19 % fd_cond 7
% 18.23/3.19 % fd_pseudo_cond 2
% 18.23/3.19 % AC symbols 0
% 18.23/3.19
% 18.23/3.19 % ------ Schedule dynamic 5 is on
% 18.23/3.19
% 18.23/3.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.23/3.19
% 18.23/3.19
% 18.23/3.19 % ------
% 18.23/3.19 % Current options:
% 18.23/3.19 % ------
% 18.23/3.19
% 18.23/3.19
% 18.23/3.19 %
% 18.23/3.19
% 18.23/3.19 % ------ Proving...
% 18.23/3.19 %
% 18.23/3.19
% 18.23/3.19 % SZS status Theorem for theBenchmark.p
% 18.23/3.19
% 18.23/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.23/3.19
% 18.23/3.19
%------------------------------------------------------------------------------